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Airy function - Wikipedia, the free encyclopedia (656 words) |
 | In mathematics, the Airy function Ai(x) is a special function, i.e., a function that appears so frequently that it deserves its own name. |
| Although the function is not strictly integrable (the integrand does not decay as t → ∞), the integral converges because of the positive and negative parts of the rapid oscillations tend to cancel one another out (this can be checked by integration by parts). |
| The Airy function is named after the British astronomer George Biddell Airy, who encountered it in his study of optics (Airy 1838). |
| Diffraction Limited Photography: Pixel Size, Aperture and Airy Disks (1797 words) |
| The width of the airy disk is used to define the theoretical maximum resolution for an optical system (defined as the diameter of the first dark circle). |
| When the diameter of the airy disk's central peak becomes large relative to the pixel size in the camera (or maximum tolerable circle of confusion), it begins to have a visual impact on the image. |
| This is because the airy disks are only partially overlapping, similar to the effect on adjacent rows of alternating fl and white airy disks (as shown on the right). |
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